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Finding the Third Proportional to 30,030 and 46,413

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Solution

The third proportional to 30,030 and 46,413 is: 71,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030 : 46,413 = 46,413 : x
  2. Step 2: Convert to fraction form
    30,030/46,413 = 46,413/x
  3. Step 3: Cross multiply
    30,030x = 46,413 × 46,413
  4. Step 4: Simplify right side
    30,030x = 2,154,166,569
  5. Step 5: Solve for x
    x = 2,154,166,569/30,030
  6. Step 6: Final answer
    x = 71,733.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.